\( \begin{array}{lll}\text { (6) } \sqrt{1 \frac{2}{7}} ; & \text { 10) } \sqrt{\frac{5}{3 \cdot 2^{5}}} ; & \text { 14) } \sqrt{0,54} \\ \text { 7) }-\sqrt{\frac{13}{18}} ; & \text { 11) } \frac{3}{\sqrt{24}} ; & \text { 15) } \frac{3}{8 \sqrt{5}} \\ \text { 8) }-\sqrt{\frac{7}{12}} ; & \text { 12) } \frac{9}{\sqrt{54}} ; & \text { 16) } \frac{2}{3 \sqrt{20}}\end{array} \)

A computer purchased for \( \$ 1,400 \) loses \( 17 \% \) of its value every year. The computer's value can be modeled by the function \( v(t)=a \cdot b^{t} \), where \( v \) is the dollar value and \( t \) the number of years since purchase. (A) Give the function that models the decrease in value of the computer: \( v(t)= \) \( 1400 \cdot(0.83)^{t} \) (B) In how many years will the computer be worth half its original value? Round answer to 1 decimal place. 4.3 years

Simplify the expression without a calculator. \( 3\left(\frac{2}{5}\right)^{0} \)

State the domain of the given function. \( y=\sqrt{14-x} \) A. \( (-\infty, \infty) \) B. \( (-\infty, 14] \) C. \( (-\infty, 14) \) D. \( [14, \infty) \)

Find the vertex, and a convenient point to sketch graph of the following function. \( y=x^{2}+2 \)

If an exponential function has a base of 2, what will be the value of \( f(3) \)?